Dan will spin this wheel once. What are all the possible outcomes of the experiment? Separate each answer with a comma followed by a space.
A circular wheel is divided into 10 equal parts from the center toward the edge. Each part is labeled from 2 to 20 in increments of 2 in a counterclockwise direction starting from the top right. A needle is fixed at the center with an arrow at one end.
its actually 3/5 since 20 too is an even number
2, 4, 6, 8, 10, 12, 14, 16, 18, 20
Tiffany has white and black shoes in her shoe box. The probability of her pulling out a white pair of shoes is 2/5 . What is the chance of Tiffany randomly pulling out a black pair of shoes?(1 point)
Since the total probability adds up to 1, the probability of pulling out a black pair of shoes would be 1 - 2/5 = 3/5.
Therefore, the chance of Tiffany randomly pulling out a black pair of shoes is 3/5.
A number from the list {2, 4, 5, 7, 9, 10, 12, 15, 18, 20} is to be picked at random. What is the probability of getting an even number? Write your answer in the simplest form of fraction.(1 point)
There are 10 numbers in the list and 5 of them are even (2, 4, 10, 12, 18).
Therefore, the probability of getting an even number would be 5/10, which simplifies to 1/2.
So, the probability of getting an even number is 1/2.
Thank you for pointing that out! Yes, the correct calculation should consider that 20 is also an even number. So, out of the 10 numbers in the list, 6 of them are even (2, 4, 10, 12, 18, 20).
Therefore, the probability of getting an even number is 6/10, which simplifies to 3/5.
Thank you for the correction!
A letter is to be picked at random from the English alphabet. If each letter is equally likely to be selected, what is the probability of selecting a consonant? Consonants are letters except for a, e, i, o, and u. Write your answer in the simplest form of fraction.(1 point)
There are 26 letters in the English alphabet. Out of these, 5 are vowels (a, e, i, o, u).
Therefore, the number of consonants would be 26 - 5 = 21.
So, the probability of selecting a consonant would be 21/26.
Therefore, the simplest form of the fraction is 21/26.
The probability of selecting a consonant is 21/26.
Each letter of the word movers is written on an individual paper strip and placed in a box. Which set represents the favorable outcomes of the event of randomly choosing a consonant letter?(1 point)
Responses
{m, o, v, e, r, s}
{v, r, s}
{o, e}
{m, v, r, s}
A consonant is any letter that is not a vowel, so the consonants in the word "movers" are: m, v, r, s.
Therefore, the set that represents the favorable outcomes of randomly choosing a consonant letter is:
{m, v, r, s}
There are 25 balls in a jar. Twelve (12) balls are red, 10 balls are blue, and 3 balls are white. Which of the following describes the likelihood of randomly picking a white ball?(1 point)
likely
very unlikely
less likely than not
impossible
The likelihood of randomly picking a white ball is very unlikely since there are only 3 white balls out of a total of 25 balls. The probability of picking a white ball is quite low compared to the other available colors. So, the correct answer is "very unlikely."
Which event is most likely to happen?(1 point)
Responses
getting a 6 when rolling a single dice once
 randomly picking a consonant from the English alphabet
randomly picking a vowel letter from the English alphabet
getting a head from a single toss of a fair coin
To determine which event is most likely to happen, we need to consider the number of outcomes favorable to each event.
1. Getting a 6 when rolling a single die once: There is only one outcome that is favorable (rolling a 6 out of 6 possible outcomes). Probability = 1/6.
2. Randomly picking a consonant from the English alphabet: There are 21 consonants out of 26 letters in the English alphabet. Probability = 21/26.
3. Randomly picking a vowel letter from the English alphabet: There are 5 vowels out of 26 letters. Probability = 5/26.
4. Getting a head from a single toss of a fair coin: There are 2 possible outcomes (heads or tails) with each equally likely. Probability = 1/2.
Comparing the probabilities:
- Getting a 6 when rolling a single die has a probability of 1/6.
- Randomly picking a consonant has a probability of 21/26.
- Randomly picking a vowel has a probability of 5/26.
- Getting a head from a toss of a fair coin has a probability of 1/2.
Based on the probabilities, the event most likely to happen is "getting a head from a single toss of a fair coin" since it has a probability of 1/2, which is higher than the other listed probabilities.